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I don’t understand why this logic circuit is a multiplexer
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A multiplexer circuit is characterized by connecting multiples data streams on entry in only one output, so that it is possible "select them". Just like in the example you provided. It may be clearer if you seek to have this other circuit as a reference to understand this one that you are sharing with us. Note that in this example, the four entries are arranged so that each one represents one of the possible states of the truth table to an AND logic port.
If you look closely at the image you have given us, you will notice that it also follows the principle we highlight. Note that the Entrada S connects the doors N2 and N3 in different ways. Understand what this entails, analyze the output equation of N2 and N3:
To Entrada S always assumes the reverse state from one door to another.
This circuit can be described as a two-input Multiplexer. Where the Entrada S is your selector.
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